Search for dissertations about: "multilinear operators"

Found 4 swedish dissertations containing the words multilinear operators.

  2. 1. The Weighted Space Odyssey

    Author : Martin Křepela; Sorina Barza; Gord Sinnamon; Karlstads universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; integral operators; supremal operators; weights; weighted function spaces; Lorentz spaces; Lebesgue spaces; convolution; Hardy inequality; multilinear operators; nonincreasing rearrangement; Matematik; Mathematics;

    Abstract : The common topic of this thesis is boundedness of integral and supremal operators between weighted function spaces.The first type of results are characterizations of boundedness of a convolution-type operator between general weighted Lorentz spaces. READ MORE

  4. 2. Regularity of multilinear oscillatory integral operators and nonlinear dispersive partial differential equations

    Author : Aksel Bergfeldt; Wolfgang Staubach; Dorothee Frey; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; oscillatory integral operators; partial differential equations; Mathematics; Matematik;

    Abstract : We show regularity of multilinear Schrödinger integral operators as well as multilinear oscillatory integrals with connection to dispersive partial differential equations. These results are used to show regularity of a system of nonlinear dispersive partial differential equations... READ MORE

  5. 3. Aspects of multilinear algebra in statistical analysis of seasonal multivariate time series

    Author : Björn Holmquist; Statistiska institutionen; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : Representations of concepts from multivariate statistics are studied using multilinear algebra. Applications are given to the analysis of seasonal multivariate time series. The first paper concerns a class of permutation matrices which are representations of permutation operators on tensor spaces. READ MORE

  6. 4. Multivariable Orthogonal Polynomials as Coupling Coefficients for Lie and Quantum Algebra Representations

    Author : Hjalmar Rosengren; Matematik (naturvetenskapliga fakulteten); []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; higher order Hankel form; Wigner symbol; quadratic algebra; Clebsch-Gordan coefficient; quantum group; Lie group; highest weight representation; multivariable orthogonal and biorthogonal polynomials; multivariable hypergeometric and basic hypergeometric functions; algebraisk topologi; Geometry; Geometri; algebraic topology;

    Abstract : The main topic of the thesis is the connection between representation theory and special functions. We study matrix elements, coupling coefficient, and recoupling coefficients for the simplest Lie and quantum groups. READ MORE